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Finding the Fourth Proportional to 384.86, 530.79 and 253.82

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Solution

The fourth proportional to 384.86, 530.79 and 253.82 is: 350.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.86 : 530.79 = 253.82 : x
  2. Step 2: Convert to fraction form
    384.86/530.79 = 253.82/x
  3. Step 3: Cross multiply
    384.86x = 530.79 × 253.82
  4. Step 4: Simplify right side
    384.86x = 134,725.12
  5. Step 5: Solve for x
    x = 134,725.12/384.86
  6. Step 6: Final answer
    x = 350.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.